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Finding the Fourth Proportional to 4,714.48, 6,505.80 and 2,618.56

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Solution

The fourth proportional to 4,714.48, 6,505.80 and 2,618.56 is: 3,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.48 : 6,505.80 = 2,618.56 : x
  2. Step 2: Convert to fraction form
    4,714.48/6,505.80 = 2,618.56/x
  3. Step 3: Cross multiply
    4,714.48x = 6,505.80 × 2,618.56
  4. Step 4: Simplify right side
    4,714.48x = 17,035,827.65
  5. Step 5: Solve for x
    x = 17,035,827.65/4,714.48
  6. Step 6: Final answer
    x = 3,613.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.